What is expand log_{10}((6/11)^5) ?

The solution to expand log_{10}((6/11)^5) is 5(log_{10}(6)-log_{10}(11))

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expand log_{10}((6/11)^5)

expand

lo g_{10} ((\frac{6}{11})^{5})

5 (lo g_{10} (6) - lo g_{10} (11))

Decimal Notation

- 1.31620 \dots

Solution steps

lo g_{10} ((\frac{6}{11})^{5})

Apply log rule:

lo g_{a} (x^{b}) = b \cdot lo g_{a} (x)

lo g_{10} ((\frac{6}{11})^{5}) = 5 lo g_{10} (\frac{6}{11})

= 5 lo g_{10} (\frac{6}{11})

Apply log rule:

lo g_{c} (\frac{a}{b}) = lo g_{c} (a) - lo g_{c} (b)

lo g_{10} (\frac{6}{11}) = lo g_{10} (6) - lo g_{10} (11)

= 5 (lo g_{10} (6) - lo g_{10} (11))

lo g_{2} (x - 2) + lo g_{2} (x + 3)

lo g_{2} (\frac{27}{3}) - lo g_{2} (\frac{16}{2})

lo g_{5} (\frac{x}{25})

lo g_{3} (5 x)

lo g_{10} (\frac{10}{y})

What is expand log_{10}((6/11)^5) ?
The solution to expand log_{10}((6/11)^5) is 5(log_{10}(6)-log_{10}(11))